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90276224 = 271016983
BaseRepresentation
bin1010110000110…
…00000110000000
320021212111200212
411120120012000
5141102314344
612542533252
72144222663
oct530300600
9207774625
1090276224
1146a5a955
1226297228
131591a8ac
14bdbd6da
157dd379e
hex5618180

90276224 has 32 divisors (see below), whose sum is σ = 181653840. Its totient is φ = 44684800.

The previous prime is 90276209. The next prime is 90276227. The reversal of 90276224 is 42267209.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90276227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9437 + ... + 16419.

Almost surely, 290276224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90276224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90826920).

90276224 is an abundant number, since it is smaller than the sum of its proper divisors (91377616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

90276224 is a wasteful number, since it uses less digits than its factorization.

90276224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7098 (or 7086 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 90276224 is about 9501.3801102787. The cubic root of 90276224 is about 448.5984773568.

It can be divided in two parts, 9027 and 6224, that added together give a palindrome (15251).

The spelling of 90276224 in words is "ninety million, two hundred seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 6464 6983 12928 13966 27932 55864 111728 223456 446912 705283 893824 1410566 2821132 5642264 11284528 22569056 45138112 90276224